75983616 has 72 divisors (see below), whose sum is σ = 224717360. Its totient is φ = 25325568.

The previous prime is 75983587. The next prime is 75983617. The reversal of 75983616 is 61638957.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (75983617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1416 + ... + 12408.

Almost surely, 2^75983616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112358680).

75983616 is an abundant number, since it is smaller than the sum of its proper divisors (148733744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75983616 is a wasteful number, since it uses less digits than its factorization.

75983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11018 (or 10998 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 75983616 is about 8716.8581495858. The cubic root of 75983616 is about 423.5519177583.

The spelling of 75983616 in words is "seventy-five million, nine hundred eighty-three thousand, six hundred sixteen".